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Finding the Fourth Proportional to 406.85, 610.68 and 224.33

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Solution

The fourth proportional to 406.85, 610.68 and 224.33 is: 336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.85 : 610.68 = 224.33 : x
  2. Step 2: Convert to fraction form
    406.85/610.68 = 224.33/x
  3. Step 3: Cross multiply
    406.85x = 610.68 × 224.33
  4. Step 4: Simplify right side
    406.85x = 136,993.84
  5. Step 5: Solve for x
    x = 136,993.84/406.85
  6. Step 6: Final answer
    x = 336.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.